14 citations · 103 across the 42 of their papers we have counts for
3 papers · 2 filters
Desingularization of Ore Operators
Shaoshi Chen, Manuel Kauers, Michael F. Singer
We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order. Our result generalizes a classical result…
A Generalized Apagodu-Zeilberger Algorithm
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
The Apagodu-Zeilberger algorithm can be used for computing annihilating operators for definite sums over hypergeometric terms, or for definite integrals over hyperexponential funct…
Parallel Telescoping and Parameterized Picard--Vessiot Theory
Shaoshi Chen, Ruyong Feng, Ziming Li +1
Parallel telescoping is a natural generalization of differential creative-telescoping for single integrals to line integrals. It computes a linear ordinary differential operator $L…